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Finding the Third Proportional to 838,102 and 1,809,004

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Solution

The third proportional to 838,102 and 1,809,004 is: 3,904,650.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    838,102 : 1,809,004 = 1,809,004 : x
  2. Step 2: Convert to fraction form
    838,102/1,809,004 = 1,809,004/x
  3. Step 3: Cross multiply
    838,102x = 1,809,004 × 1,809,004
  4. Step 4: Simplify right side
    838,102x = 3,272,495,472,016
  5. Step 5: Solve for x
    x = 3,272,495,472,016/838,102
  6. Step 6: Final answer
    x = 3,904,650.59

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.